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Finding the Fourth Proportional to 513.99, 708.93 and 336.74

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Solution

The fourth proportional to 513.99, 708.93 and 336.74 is: 464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.99 : 708.93 = 336.74 : x
  2. Step 2: Convert to fraction form
    513.99/708.93 = 336.74/x
  3. Step 3: Cross multiply
    513.99x = 708.93 × 336.74
  4. Step 4: Simplify right side
    513.99x = 238,721.54
  5. Step 5: Solve for x
    x = 238,721.54/513.99
  6. Step 6: Final answer
    x = 464.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.